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Finding the Fourth Proportional to 742.87, 1,114.44 and 249.36

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Solution

The fourth proportional to 742.87, 1,114.44 and 249.36 is: 374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.87 : 1,114.44 = 249.36 : x
  2. Step 2: Convert to fraction form
    742.87/1,114.44 = 249.36/x
  3. Step 3: Cross multiply
    742.87x = 1,114.44 × 249.36
  4. Step 4: Simplify right side
    742.87x = 277,896.76
  5. Step 5: Solve for x
    x = 277,896.76/742.87
  6. Step 6: Final answer
    x = 374.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.